Geodesic
A Stochastic Model For Protrusion Activity
Christèle Etchegaray1 ; Nicolas Meunier1
1 MAP5, CNRS UMR 8145, Université Paris Descartes, 45 rue des Saints Pères 75006 Paris, France.
ESAIM. Proceedings, Tome 62 (2018), pp. 56-67.

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In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement results from its internal activity: the cell velocity is a function of the (discrete) protrusive forces exerted by filopodia on the substrate. Cell polarisation ability is modeled in the feedback that the cell motion exerts on the protrusion rates: faster cells form preferentially protrusions in the direction of motion. By using the mathematical framework of structured population processes previously developed to study population dynamics [4], we introduce rigorously the mathematical model and we derive some of its fundamental properties. We perform numerical simulations on this model showing that different types of trajectories may be obtained: Brownian-like, persistent, or intermittent when the cell switches between both previous regimes. We find back the trajectories usually described in the literature for cell migration.
DOI : 10.1051/proc/201862056

Christèle Etchegaray 1 ; Nicolas Meunier 1

1 MAP5, CNRS UMR 8145, Université Paris Descartes, 45 rue des Saints Pères 75006 Paris, France. 
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     author = {Christ\`ele Etchegaray and Nicolas Meunier},
     title = {A {Stochastic} {Model} {For} {Protrusion} {Activity}},
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Christèle Etchegaray; Nicolas Meunier. A Stochastic Model For Protrusion Activity. ESAIM. Proceedings, Tome 62 (2018), pp. 56-67. doi : 10.1051/proc/201862056. http://geodesic.mathdoc.fr/articles/10.1051/proc/201862056/

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